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IEVref: | 102-05-18 | ID: | |

Language: | en | Status: Standard | |

Term: | nabla operator | ||

Synonym1: | nabla | ||

Synonym2: | |||

Synonym3: | |||

Symbol: | ∇ | ||

Definition: | symbolic notation expressed formally as a vector, used to denote scalar or vector differential operators operating at each point of a given space region on scalars or vectors, and which, in orthonormal Cartesian coordinates, is represented by $\mathbf{\nabla}={e}_{x}\frac{\partial}{\partial \text{\hspace{0.17em}}x}+{e}_{y}\frac{\partial}{\partial \text{\hspace{0.17em}}y}+{e}_{z}\frac{\partial}{\partial \text{\hspace{0.17em}}z}$ where ${e}_{x}\text{,}{e}_{y}\text{,}{e}_{z}$ are unit vectors along the Note 1 to entry: It is recommended to print the symbol | ||

Publication date: | 2008-08 | ||

Source: | |||

Replaces: | |||

Internal notes: | 2017-02-20: Editorial revisions in accordance with the information provided in C00019 (IEV 102) - evaluation. JGO | ||

CO remarks: | |||

TC/SC remarks: | |||

VT remarks: | |||

Domain1: | |||

Domain2: | |||

Domain3: | |||

Domain4: | |||

Domain5: |

$\mathbf{\nabla}={e}_{x}\frac{\partial}{\partial \text{\hspace{0.17em}}x}+{e}_{y}\frac{\partial}{\partial \text{\hspace{0.17em}}y}+{e}_{z}\frac{\partial}{\partial \text{\hspace{0.17em}}z}$

where ${e}_{x}\text{,}{e}_{y}\text{,}{e}_{z}$ are unit vectors along the *x*, *y*, *z* axes

Note 1 to entry: It is recommended to print the symbol **∇** in boldface.